30204697013760 has 640 divisors, whose sum is σ = 100392020213760. Its totient is φ = 7738962739200.

The previous prime is 30204697013741. The next prime is 30204697013783. The reversal of 30204697013760 is 6731079640203.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23615868801 + ... + 23615870079.

It is an arithmetic number, because the mean of its divisors is an integer number (156862531584).

Almost surely, 2^{30204697013760} is an apocalyptic number.

30204697013760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30204697013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50196010106880).

30204697013760 is an abundant number, since it is smaller than the sum of its proper divisors (70187323200000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30204697013760 is a wasteful number, since it uses less digits than its factorization.

30204697013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 30204697013760 in words is "thirty trillion, two hundred four billion, six hundred ninety-seven million, thirteen thousand, seven hundred sixty".